Beepster
But you said she's freaking out at noon so as I said tell her get lost. Let her call the cops. They'll likely tell her to stop harassing you and wasting their time.
OP says 12:20am. Joking aside, it can be a pretty serious affair to disturb a neighbor with noise after a certain time. I think it's 10pm in NYC. After which, if you're making a noise, your neighbor might be keeping a noise diary. I think if you continue to make noise after you've gotten a warning, they can ultimately confiscate your equipment.
I just wish noise insulation was more of a priority when constructing buildings. I was in a relatively new apartment building recently and you could hear everything from next door through the air vents. Conversations, TV dialog, everything. If I was in the market for a new condo, I would jump at a building that advertised soundproofing as a feature. There are certain buildings in NYC that are renowned for their soundproofing and musicians flock to them, for example the Armory on 42nd st. I really need to get me a place like that.